The input signal \(u(t)\) , here simulated by the Arbitrary Waveform Generator, will be combined with the delayed feedback signal \(x(t-\tau )\)  and transformed via a non-linear modulation process occurring in the neuron kernel. Throughout this paper, we consider a neuron kernel implementation based on the single physical node delay line with a Mach-Zehnder modulator (MZM) as the non-linear neuron activation function, see Fig. REF (b). Implementation of a RC based on this system and its variant have been reported previously in the context of all-optical computing and communication applications [1]}, [2]}.
Initially, a similar setup to Fig. 1(a) was proposed by Ikeda [3]}, [4]}, [5]} to demonstrate the existence of multiple stability state and chaos in a non-linear optical ring resonator system, mathematically, modelled by the Ikeda map given by,
\(v(t)=f_{\mathrm {NL}}[v(t-\tau )]\) 
